Slope stability analysis: a kinematical approach

Abstract:Tunnel face stability is important for safe tunneling and the protection of the surrounding environment. Upper bound analysis is a widely applied method to investigate tunnel face stability. In this paper, a tunnel face collapse of Guangzhou metro line 3 is presented. Accordingly, seepage is considered in the upper bound solutions for face stability in layered soils. Steady-state seepage is reached in the first 1200 s of each drilling step. In the crossed layer, the seepage flow is horizontal toward the tunnel face, whereas in the cover layer, the seepage vertically percolates into the crossed layer. By considering the seepage forces on the tunnel face and on the soil particles, the upper bound solution for the support pressure needed for face stability in layered soil with seepage is obtained. Under saturated conditions, the support pressure is influenced by the variation of the depth ratio due to the seepage effect. Moreover, the support pressure depends linearly on the groundwater level. This study provides estimations of the support pressure for face stability in tunnel design.

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“…Based on 2D analysis, Michalowski (1995) and Viratjandr and Michalowski (2006) derived the work of the water pressure…”

Section: Upper Bound Solutionmentioning

confidence: 99%

Upper bound analysis for estimation of the influence of seepage on tunnel face stability in layered soils

Liu

Albers

Zhao

et al. 2016

J. Zhejiang Univ. Sci. A

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“…The limit analysis method in this paper is based on the upper bound theorem, which states that the rate of external work is less than or equal to the rate of internal plastic energy dissipation in any kinematically admissible velocity field (Michalowski, 1995). This can be expressed as…”

Section: Upper Bound Theoremmentioning

confidence: 99%

Stability analysis of MSW slope layered by aging

Fan

Huang

Liu

et al. 2016

JGS Special Publication

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As the age of waste changes, the strength of the waste varies during the service years of the landfill. On base of the upper bound limit analysis theorem, two mechanisms for stability analysis of landfills layered by aging are presented in this paper. The rotational-translational mechanism is generalized to analyze the multi-layer municipal solid waste (MSW) landfill slope. The other failure mechanism is comprised of irregular blocks undergoing translational movements. To examine the two mechanisms, the cases of a soil slope layered horizontally and a landfill slope layered by aging are taken into consideration in the case studies. In comparison with the results from the shear strength reduction finite element method (SSRFEM), it demonstrates that the validity of the two mechanisms in the stability analysis of landfill slope cases considering the aging of landfills. In addition, the stability of the Coll Cardús in Spain with complex layers by aging is analyzed, and the results are also compared with those from the SSRFEM.

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“…If pore-water pressure is incorporated into the upper bound limit analysis and treated as external force, the energy balance equation can be expressed as (e.g., [21]):…”

Section: Stability Chart Based On Rotational Failure Mechanismmentioning

confidence: 99%

Governing failure mode of unsaturated soil slopes under rainwater infiltration

2016

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Abstract. Due to rainwater infiltration and loss of matric suction above the wetting font, both translational and rotational slips may occur in an unsaturated soil slope. It is useful to know which failure mode is more critical. The governing failure mode is likely to be affected by soil properties, slope geometry, depth of wetting front and contribution of matric suction to shear strength, which were investigated in this study. Specifically, upper bound limit analysis was adopted to develop stability charts based on rotational failure mechanism, and infinite slope model was used to develop stability charts based on translational failure mechanism. For a slope, the failure mechanism which gives the lower factor of safety is the governing failure mode. It was found that the failure mode of an unsaturated soil slope under rainfall is determined by parameter group c'/γHtanϕ' for a given slope angle, depth of wetting front and contribution of matric suction to shear strength. With the increase in depth of wetting front and greater contribution of matric suction to shear strength, a slope is more prone to translational failure. Slopes with angle β = 45º are most vulnerable to translational failure, while gentler slopes (e.g. β = 15º) and steeper slopes (e.g. β = 75º) are more susceptible to rotational failure.

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Slope stability analysis: a kinematical approach

Cited by 268 publications

References 16 publications

Upper bound analysis for estimation of the influence of seepage on tunnel face stability in layered soils

Upper bound analysis for estimation of the influence of seepage on tunnel face stability in layered soils

Stability analysis of MSW slope layered by aging

Governing failure mode of unsaturated soil slopes under rainwater infiltration

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